3 papers
math.AP2025
Ill-Posedness of the 2D Euler Equations in a Logarithmically Refined Critical Sobolev Space
Elaine Cozzi, Nicholas Harrison, Zachary Radke
In their seminal work, Bourgain and Li establish strong ill-posedness of the 2D Euler equations for initial velocity in the critical Sobolev space . In this work…
math.AP2025
Well-Posedness for the Euler Equations in Function Spaces of Generalized Smoothness
Nicholas Harrison, Zachary Radke
We consider the question of well-posedness for the incompressible Euler equations in generalized function spaces of the type and $F^{s,Ï}_{p,q}(\mat…
math.AP2024
Local Existence for the 2D Euler Equations in a Critical Sobolev Space
Elaine Cozzi, Nicholas Harrison
In their seminal work, Bourgain and Li establish strong ill-posedness of the 2D incompressible Euler equations with vorticity in the critical Sobolev space …